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Finding the Fourth Proportional to 359.52, 543.84 and 357.12

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Solution

The fourth proportional to 359.52, 543.84 and 357.12 is: 540.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.52 : 543.84 = 357.12 : x
  2. Step 2: Convert to fraction form
    359.52/543.84 = 357.12/x
  3. Step 3: Cross multiply
    359.52x = 543.84 × 357.12
  4. Step 4: Simplify right side
    359.52x = 194,216.14
  5. Step 5: Solve for x
    x = 194,216.14/359.52
  6. Step 6: Final answer
    x = 540.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.